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202324104133431 = 371276471000711717
BaseRepresentation
bin101110000000001101000000…
…010110110011101100110111
3222112100222212200120210012020
4232000031000112303230313
5203004334231124232211
61554150224342524223
760421301624434560
oct5600150026635467
9875328780523166
10202324104133431
1159515197228665
121a837925136673
1388b81093ab1a7
1437d67789db167
15185cdaa93b306
hexb803405b3b37

202324104133431 has 64 divisors (see below), whose sum is σ = 311268909514752. Its totient is φ = 114504926078592.

The previous prime is 202324104133409. The next prime is 202324104133441. The reversal of 202324104133431 is 134331401423202.

It is not a de Polignac number, because 202324104133431 - 229 = 202323567262519 is a prime.

It is a super-4 number, since 4×2023241041334314 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 202324104133392 and 202324104133401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202324104133441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17267562985 + ... + 17267574701.

It is an arithmetic number, because the mean of its divisors is an integer number (4863576711168).

Almost surely, 2202324104133431 is an apocalyptic number.

202324104133431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202324104133431 is a deficient number, since it is larger than the sum of its proper divisors (108944805381321).

202324104133431 is a wasteful number, since it uses less digits than its factorization.

202324104133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22508.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 202324104133431 its reverse (134331401423202), we get a palindrome (336655505556633).

The spelling of 202324104133431 in words is "two hundred two trillion, three hundred twenty-four billion, one hundred four million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 21 127 381 647 889 1941 2667 4529 10007 11717 13587 30021 35151 70049 82019 82169 210147 246057 246507 575183 1270889 1488059 1725549 3812667 4464177 6474529 7580899 8896223 10416413 19423587 22742697 26688669 31249239 45321703 53066293 117252019 135965109 159198879 351756057 820764133 822265183 962774173 2462292399 2466795549 2888322519 5755856281 6739419211 14891006413 17267568843 20218257633 44673019239 75862056293 104237044891 227586168879 312711134673 531034394051 1593103182153 9634481149211 28903443447633 67441368044477 202324104133431